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Mandarinka [93]
3 years ago
5

Write each of the following numbers to 3 significant figures in exponential or scientific notation. Write each number with only

one non-zero digit before the decimal point.
(i) 5590
(ii) 0.000498
(iii) 135000
(iv) 0.000438
Mathematics
1 answer:
Bezzdna [24]3 years ago
6 0

Solution :

The significant figure of a number are defined as the positional notation of that number which are most reliable and are absolutely necessary to represent the quantity of something.

In the context, we have to express the given numbers into three significant figures in the form of scientific notation or in the exponential form :

(i). 5590    -----    $5.59 \times 10^3$

(ii).  0.000498   -----    $4.98 \times 10^{-4}$

(iii) 135000  -----   $1.35 \times 10^5$

(iv) 0.000438   -----  $4.38 \times 10^{-4}$

       

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Find the quotient: (x2−5x+8)÷(x+2)
Aneli [31]

Answer:

Quotient = x - 7

Step-by-step explanation:

We are dividing x^2 - 5x +8 by x + 2

x + 2√x^2 - 5x + 8

Starting with dividing by x

x - 7

x + 2√ x^2 - 5x + 8

Multiplying x by x + 2

x

x + 2√ x^2 - 5x + 8

-

x^2 + 2x

= -7x + 8

Step ii, pick -7 for division

-7x + 8

-

-7x - 14

= +8 -(-14)

= 8+14

= 22

The answer is

( x - 7) remainder 22

(x - 7) is the quointent

22 is the remainder

3 0
3 years ago
A book sold 31,500 copies in its first month of release. Suppose this represents 8.9% of the number of copies sold to date. How
kogti [31]

Answer:

35,393,258

Step-by-step explanation

\frac{31,500}{x} =\frac{0.089}{100}

0.089x=3,150,000

x= 35,393,258.427

Rounded to the nearest whole number, that is 35,393,258.

7 0
2 years ago
How do you solve it?
MatroZZZ [7]

Answer:

<em>i: </em>x=-2, x=1

<em>ii: </em>x=-1/2

Step-by-step explanation:

Quadratic form:

You solve <em>i </em>by using FOIL (First, Outside, Inside, Last) because it is a multiplication problem.

(x+2)(x-1)=0

<em>"first"</em> would be x*x, which would equal x^{2}

<em>"outside"</em> would be x*-1, which would equal -1x, or -x

<em>"inside"</em> would be 2*x, which would equal 2x

<em>"last" </em>would be 2*-1, which would equal -2

Now you need to combine the terms so that they are one after the other

x^{2}-x +2x-2

Combine like terms, and you should get:

x^{2} +x-2

i Solution

<em>You need to get the variable by itself.</em>

<em>Subtract two from both sides</em>

x+2=0\\x=-2

<em>Add one to both sides.</em>

x-1=0\\x=1

ii Solution

<em>Add all the terms.</em>

x+2+x-1=0\\2x+1=0\\2x=-1\\x=-\frac{1}{2}

8 0
3 years ago
A chemical factory has 2 cylindrical chemical tanks, one containing Chemical X and the other containing Chemical Y. The tank con
Mashutka [201]
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25 = 1.5<em>V</em>
We would divide both sides by 1.5 to get the volume of the tank containing Chemical Y:
\frac{25}{1.5}=\frac{1.5V}{1.5} \\16 \frac{2}{3}=V
To find the volume of a cylinder, we find the base area and multiply by the height.  We know the volume and we know the base area, so our equation to find the height of the tank containing Chemical Y would look like:
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We would now divide both sides by 3 2/10:
\frac{16 \frac{2}{3}}{3 \frac{2}{10}}= \frac{3 \frac{2}{10}h}{3 \frac{2}{10}}
This is the same as:
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8 0
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The sum of two numbers increased by 5
Brut [27]

Answer:

If the sum is x, x+5

Step-by-step explanation:

4 0
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